Evaluate numerically:

Complex number inputs:

Evaluate to high precision:

The precision of the output tracks the precision of the input:

Evaluate efficiently at high precision:

Compute the elementwise values of an array using automatic threading:

Or compute the matrix FractionalPart function using MatrixFunction:

Compute average-case statistical intervals using Around:

Values of FractionalPart at fixed points:

Value at zero:

Value at Infinity:

Evaluate symbolically:

Manipulate FractionalPart symbolically:

Find a value of x for which the FractionalPart[x]=0.5:

Plot the FractionalPart function:

Plot scaled FractionalPart functions:

Plot FractionalPart in three dimensions:

Visualize FractionalPart in the complex plane:

FractionalPart is defined for all real and complex inputs:

Function range of FractionalPart:

FractionalPart is an odd function:

FractionalPart can be made periodic on the reals by adding one to its value on the negative reals:

FractionalPart is not an analytic function:

It has both singularities and discontinuities:

FractionalPart is neither nondecreasing nor nonincreasing:

FractionalPart is not injective:

FractionalPart is not surjective:

FractionalPart is neither non-negative nor non-positive:

FractionalPart is neither convex nor concave:

TraditionalForm formatting:

First derivative with respect to x:

Second derivative with respect to x:

Evaluate an integral:

Series expansion: